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10020100273 is a prime number
BaseRepresentation
bin10010101010011111…
…01001100010110001
3221212022120211111221
421111033221202301
5131010121202043
64334141305041
7503210306221
oct112517514261
927768524457
1010020100273
1142820a3707
121b37865181
13c38c07421
146b0ab6081
153d9a2d8ed
hex2553e98b1

10020100273 has 2 divisors, whose sum is σ = 10020100274. Its totient is φ = 10020100272.

The previous prime is 10020100199. The next prime is 10020100289. The reversal of 10020100273 is 37200102001.

It is a happy number.

10020100273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10020100289) can be obtained adding 10020100273 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5419462689 + 4600637584 = 73617^2 + 67828^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020100273 - 213 = 10020092081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020103273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010050136 + 5010050137.

It is an arithmetic number, because the mean of its divisors is an integer number (5010050137).

Almost surely, 210020100273 is an apocalyptic number.

It is an amenable number.

10020100273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020100273 is an equidigital number, since it uses as much as digits as its factorization.

10020100273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 10020100273 its reverse (37200102001), we get a palindrome (47220202274).

The spelling of 10020100273 in words is "ten billion, twenty million, one hundred thousand, two hundred seventy-three".